40325090841616 has 225 divisors, whose sum is σ = 92167320928893. Its totient is φ = 17090685037440.

The previous prime is 40325090841551. The next prime is 40325090841643. The reversal of 40325090841616 is 61614809052304.

The square root of 40325090841616 is 6350204.

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

It can be written as a sum of positive squares in only one way, i.e., 444350227216 + 39880740614400 = 666596^2 + 6315120^2 .

It is a super-2 number, since 2×40325090841616² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 40325090841616.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 222790557046 + ... + 222790557226.

Almost surely, 2^{40325090841616} is an apocalyptic number.

40325090841616 is the 6350204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40325090841616

40325090841616 is an abundant number, since it is smaller than the sum of its proper divisors (51842230087277).

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

40325090841616 is an frugal number, since it uses more digits than its factorization.

40325090841616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

40325090841616 divided by its sum of digits (49) gives a square (822961037584 = 907172²).

The spelling of 40325090841616 in words is "forty trillion, three hundred twenty-five billion, ninety million, eight hundred forty-one thousand, six hundred sixteen".