40919249295360 has 384 divisors, whose sum is σ = 146954777860800. Its totient is φ = 10799299952640.

The previous prime is 40919249295271. The next prime is 40919249295401. The reversal of 40919249295360 is 6359294291904.

40919249295360 is a `hidden beast` number, since 4 + 0 + 9 + 1 + 9 + 2 + 4 + 92 + 9 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26055670 + ... + 27581450.

Almost surely, 2^{40919249295360} is an apocalyptic number.

40919249295360 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 40919249295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73477388930400).

40919249295360 is an abundant number, since it is smaller than the sum of its proper divisors (106035528565440).

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

40919249295360 is a wasteful number, since it uses less digits than its factorization.

40919249295360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525914 (or 1525888 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 40919249295360 in words is "forty trillion, nine hundred nineteen billion, two hundred forty-nine million, two hundred ninety-five thousand, three hundred sixty".