40625053920 has 288 divisors, whose sum is σ = 152940584160. Its totient is φ = 9737502720.

The previous prime is 40625053919. The next prime is 40625053943. The reversal of 40625053920 is 2935052604.

40625053920 is a `hidden beast` number, since 4 + 0 + 62 + 505 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1395352 + ... + 1424168.

It is an arithmetic number, because the mean of its divisors is an integer number (531043695).

Almost surely, 2^40625053920 is an apocalyptic number.

40625053920 is a gapful number since it is divisible by the number (40) 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 40625053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76470292080).

40625053920 is an abundant number, since it is smaller than the sum of its proper divisors (112315530240).

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

40625053920 is a wasteful number, since it uses less digits than its factorization.

40625053920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28938 (or 28927 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 40625053920 in words is "forty billion, six hundred twenty-five million, fifty-three thousand, nine hundred twenty".