40025623484160 has 1296 divisors, whose sum is σ = 147774181018464. Its totient is φ = 9989690425344.

The previous prime is 40025623484081. The next prime is 40025623484179. The reversal of 40025623484160 is 6148432652004.

40025623484160 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 5 + 6 + 2 + 3 + 484 + 160 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126263796322 + ... + 126263796638.

Almost surely, 2^{40025623484160} is an apocalyptic number.

40025623484160 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 40025623484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73887090509232).

40025623484160 is an abundant number, since it is smaller than the sum of its proper divisors (107748557534304).

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

40025623484160 is a wasteful number, since it uses less digits than its factorization.

40025623484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

It can be divided in two parts, 400256 and 23484160, that added together give a triangular number (23884416 = T₆₉₁₁).

The spelling of 40025623484160 in words is "forty trillion, twenty-five billion, six hundred twenty-three million, four hundred eighty-four thousand, one hundred sixty".