123157117440 has 2400 divisors, whose sum is σ = 585222257664. Its totient is φ = 24524881920.

The previous prime is 123157117439. The next prime is 123157117513. The reversal of 123157117440 is 44711751321.

123157117440 is a `hidden beast` number, since 1 + 2 + 31 + 571 + 17 + 4 + 40 = 666.

It is a super-2 number, since 2×123157117440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123157117395 and 123157117404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3972810225 + ... + 3972810255.

Almost surely, 2^123157117440 is an apocalyptic number.

123157117440 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 123157117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292611128832).

123157117440 is an abundant number, since it is smaller than the sum of its proper divisors (462065140224).

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

123157117440 is a wasteful number, since it uses less digits than its factorization.

123157117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 123157117440 its reverse (44711751321), we get a palindrome (167868868761).

The spelling of 123157117440 in words is "one hundred twenty-three billion, one hundred fifty-seven million, one hundred seventeen thousand, four hundred forty".