40428620400 has 120 divisors (see below), whose sum is σ = 148007284864. Its totient is φ = 9240825600.

The previous prime is 40428620389. The next prime is 40428620417. The reversal of 40428620400 is 402682404.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 2398066 + ... + 2414865.

Almost surely, 2^40428620400 is an apocalyptic number.

40428620400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40428620400 is an abundant number, since it is smaller than the sum of its proper divisors (107578664464).

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

40428620400 is a wasteful number, since it uses less digits than its factorization.

40428620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812959 (or 4812948 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 40428620400 in words is "forty billion, four hundred twenty-eight million, six hundred twenty thousand, four hundred".