111460631040 has 480 divisors, whose sum is σ = 435214644480. Its totient is φ = 27018731520.

The previous prime is 111460631021. The next prime is 111460631059. The reversal of 111460631040 is 40136064111.

111460631040 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 606 + 3 + 10 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (111460631021) and next prime (111460631059).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×111460631040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 111460630995 and 111460631013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8356857 + ... + 8370183.

It is an arithmetic number, because the mean of its divisors is an integer number (906697176).

Almost surely, 2^111460631040 is an apocalyptic number.

111460631040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111460631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217607322240).

111460631040 is an abundant number, since it is smaller than the sum of its proper divisors (323754013440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111460631040 is a wasteful number, since it uses less digits than its factorization.

111460631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13381 (or 13348 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 111460631040 its reverse (40136064111), we get a palindrome (151596695151).

The spelling of 111460631040 in words is "one hundred eleven billion, four hundred sixty million, six hundred thirty-one thousand, forty".