40819861997145 has 320 divisors, whose sum is σ = 93167061926400. Its totient is φ = 16950233664000.

The previous prime is 40819861997119. The next prime is 40819861997183. The reversal of 40819861997145 is 54179916891804.

40819861997145 is a `hidden beast` number, since 408 + 1 + 9 + 8 + 61 + 99 + 71 + 4 + 5 = 666.

It is not a de Polignac number, because 40819861997145 - 2⁵ = 40819861997113 is a prime.

It is a super-2 number, since 2×40819861997145² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1988002299 + ... + 1988022831.

It is an arithmetic number, because the mean of its divisors is an integer number (291147068520).

Almost surely, 2^{40819861997145} is an apocalyptic number.

40819861997145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40819861997145 is an abundant number, since it is smaller than the sum of its proper divisors (52347199929255).

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

40819861997145 is a wasteful number, since it uses less digits than its factorization.

40819861997145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21883 (or 21860 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 72.

The spelling of 40819861997145 in words is "forty trillion, eight hundred nineteen billion, eight hundred sixty-one million, nine hundred ninety-seven thousand, one hundred forty-five".