40102013952 has 1584 divisors, whose sum is σ = 171243700992. Its totient is φ = 9196830720.

The previous prime is 40102013921. The next prime is 40102013971. The reversal of 40102013952 is 25931020104.

40102013952 is a `hidden beast` number, since 401 + 0 + 201 + 3 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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 (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1743565813 + ... + 1743565835.

Almost surely, 2^40102013952 is an apocalyptic number.

40102013952 is a gapful number since it is divisible by the number (42) 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 40102013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85621850496).

40102013952 is an abundant number, since it is smaller than the sum of its proper divisors (131141687040).

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

40102013952 is a wasteful number, since it uses less digits than its factorization.

40102013952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 40102013952 in words is "forty billion, one hundred two million, thirteen thousand, nine hundred fifty-two".