40625172000 has 1536 divisors, whose sum is σ = 186810624000. Its totient is φ = 8360755200.

The previous prime is 40625171953. The next prime is 40625172019. The reversal of 40625172000 is 27152604.

40625172000 is a `hidden beast` number, since 4 + 0 + 625 + 17 + 20 + 0 + 0 = 666.

40625172000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 372707946 + ... + 372708054.

It is an arithmetic number, because the mean of its divisors is an integer number (121621500).

Almost surely, 2^40625172000 is an apocalyptic number.

40625172000 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 40625172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93405312000).

40625172000 is an abundant number, since it is smaller than the sum of its proper divisors (146185452000).

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

40625172000 is a wasteful number, since it uses less digits than its factorization.

40625172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 40625172000 in words is "forty billion, six hundred twenty-five million, one hundred seventy-two thousand".