40414627562500 has 189 divisors, whose sum is σ = 90138805017121. Its totient is φ = 15854981500000.

The previous prime is 40414627562489. The next prime is 40414627562501. The reversal of 40414627562500 is 526572641404.

The square root of 40414627562500 is 6357250.

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

It can be written as a sum of positive squares in 3 ways, for example, as 35407093548996 + 5007534013504 = 5950386^2 + 2237752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40414627562501) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 93769437285 + ... + 93769437715.

Almost surely, 2^{40414627562500} is an apocalyptic number.

40414627562500 is the 6357250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40414627562500

40414627562500 is an abundant number, since it is smaller than the sum of its proper divisors (49724177454621).

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

40414627562500 is an frugal number, since it uses more digits than its factorization.

40414627562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 40414627562500 in words is "forty trillion, four hundred fourteen billion, six hundred twenty-seven million, five hundred sixty-two thousand, five hundred".