40920498883440 has 800 divisors, whose sum is σ = 155808911966400. Its totient is φ = 9871264972800.

The previous prime is 40920498883339. The next prime is 40920498883513. The reversal of 40920498883440 is 4438889402904.

40920498883440 is a `hidden beast` number, since 4 + 0 + 9 + 20 + 4 + 98 + 8 + 83 + 440 = 666.

It is a super-2 number, since 2×40920498883440² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13473985602 + ... + 13473988638.

It is an arithmetic number, because the mean of its divisors is an integer number (194761139958).

Almost surely, 2^{40920498883440} is an apocalyptic number.

40920498883440 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 40920498883440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77904455983200).

40920498883440 is an abundant number, since it is smaller than the sum of its proper divisors (114888413082960).

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

40920498883440 is a wasteful number, since it uses less digits than its factorization.

40920498883440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 40920498883440 in words is "forty trillion, nine hundred twenty billion, four hundred ninety-eight million, eight hundred eighty-three thousand, four hundred forty".