101460003840 has 1408 divisors, whose sum is σ = 426376016640. Its totient is φ = 22932357120.

The previous prime is 101460003797. The next prime is 101460003863. The reversal of 101460003840 is 48300064101.

101460003840 is a `hidden beast` number, since 1 + 0 + 14 + 600 + 0 + 3 + 8 + 40 = 666.

It is a super-3 number, since 3×101460003840³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2474634220 + ... + 2474634260.

Almost surely, 2^101460003840 is an apocalyptic number.

101460003840 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 101460003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213188008320).

101460003840 is an abundant number, since it is smaller than the sum of its proper divisors (324916012800).

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

101460003840 is an equidigital number, since it uses as much as digits as its factorization.

101460003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101460003840 its reverse (48300064101), we get a palindrome (149760067941).

The spelling of 101460003840 in words is "one hundred one billion, four hundred sixty million, three thousand, eight hundred forty".