40102420104 has 192 divisors, whose sum is σ = 113458363200. Its totient is φ = 12784946688.

The previous prime is 40102420097. The next prime is 40102420121.

40102420104 is a `hidden beast` number, since 40 + 102 + 420 + 104 = 666.

40102420104 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64785507 + ... + 64786125.

It is an arithmetic number, because the mean of its divisors is an integer number (590928975).

Almost surely, 2^40102420104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40102420104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56729181600).

40102420104 is an abundant number, since it is smaller than the sum of its proper divisors (73355943096).

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

40102420104 is a wasteful number, since it uses less digits than its factorization.

40102420104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 40102420104 in words is "forty billion, one hundred two million, four hundred twenty thousand, one hundred four".