40741719910290 has 768 divisors, whose sum is σ = 133364078346240. Its totient is φ = 8666993986560.

The previous prime is 40741719910289. The next prime is 40741719910319. The reversal of 40741719910290 is 9201991714704.

40741719910290 is a `hidden beast` number, since 4 + 0 + 7 + 417 + 199 + 10 + 29 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15162529327 + ... + 15162532013.

It is an arithmetic number, because the mean of its divisors is an integer number (173651143680).

Almost surely, 2^{40741719910290} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40741719910290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66682039173120).

40741719910290 is an abundant number, since it is smaller than the sum of its proper divisors (92622358435950).

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

40741719910290 is a wasteful number, since it uses less digits than its factorization.

40741719910290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 40741719910290 in words is "forty trillion, seven hundred forty-one billion, seven hundred nineteen million, nine hundred ten thousand, two hundred ninety".