40370855625 has 225 divisors, whose sum is σ = 81263016417. Its totient is φ = 19963908000.

The previous prime is 40370855599. The next prime is 40370855627. The reversal of 40370855625 is 52655807304.

The square root of 40370855625 is 200925.

It is a perfect power (a square), and thus also a powerful number.

40370855625 is a `hidden beast` number, since 4 + 0 + 3 + 7 + 0 + 85 + 562 + 5 = 666.

40370855625 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 2 ways, for example, as 3165075081 + 37205780544 = 56259^2 + 192888^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 40370855625 - 2¹⁵ = 40370822857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40370855627) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 858954352 + ... + 858954398.

Almost surely, 2^40370855625 is an apocalyptic number.

40370855625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40370855625 is the 200925-th square number.

40370855625 is the 100463-rd centered octagonal number.

It is an amenable number.

40370855625 is an abundant number, since it is smaller than the sum of its proper divisors (40892160792).

40370855625 is an frugal number, since it uses more digits than its factorization.

40370855625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 40370855625 in words is "forty billion, three hundred seventy million, eight hundred fifty-five thousand, six hundred twenty-five".