102456401040 has 1920 divisors, whose sum is σ = 475715980800. Its totient is φ = 20316635136.

The previous prime is 102456401027. The next prime is 102456401041. The reversal of 102456401040 is 40104654201.

102456401040 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 5 + 640 + 10 + 4 + 0 = 666.

It is a super-2 number, since 2×102456401040² (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 = 102456400995 and 102456401013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102456401041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2769091902 + ... + 2769091938.

It is an arithmetic number, because the mean of its divisors is an integer number (247768740).

Almost surely, 2^102456401040 is an apocalyptic number.

102456401040 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 102456401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237857990400).

102456401040 is an abundant number, since it is smaller than the sum of its proper divisors (373259579760).

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

102456401040 is a wasteful number, since it uses less digits than its factorization.

102456401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 102456401040 in words is "one hundred two billion, four hundred fifty-six million, four hundred one thousand, forty".