40102100357 has 24 divisors (see below), whose sum is σ = 44578415448. Its totient is φ = 36045701120.

The previous prime is 40102100329. The next prime is 40102100383. The reversal of 40102100357 is 75300120104.

40102100357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33078151876 + 7023948481 = 181874^2 + 83809^2 .

It is not a de Polignac number, because 40102100357 - 2¹² = 40102096261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40102100257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4255583 + ... + 4264995.

It is an arithmetic number, because the mean of its divisors is an integer number (1857433977).

Almost surely, 2^40102100357 is an apocalyptic number.

It is an amenable number.

40102100357 is a deficient number, since it is larger than the sum of its proper divisors (4476315091).

40102100357 is a wasteful number, since it uses less digits than its factorization.

40102100357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9829 (or 9818 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The spelling of 40102100357 in words is "forty billion, one hundred two million, one hundred thousand, three hundred fifty-seven".