40283925488640 has 880 divisors, whose sum is σ = 148256006279040. Its totient is φ = 10453916712960.

The previous prime is 40283925488591. The next prime is 40283925488689. The reversal of 40283925488640 is 4688452938204.

40283925488640 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 3 + 9 + 2 + 548 + 86 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40283925488591) and next prime (40283925488689).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5011057741 + ... + 5011065779.

It is an arithmetic number, because the mean of its divisors is an integer number (168472734408).

Almost surely, 2^{40283925488640} is an apocalyptic number.

40283925488640 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 40283925488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74128003139520).

40283925488640 is an abundant number, since it is smaller than the sum of its proper divisors (107972080790400).

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

40283925488640 is a wasteful number, since it uses less digits than its factorization.

40283925488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8400 (or 8373 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 40283925488640 in words is "forty trillion, two hundred eighty-three billion, nine hundred twenty-five million, four hundred eighty-eight thousand, six hundred forty".