40193819930880 has 4608 divisors, whose sum is σ = 194086571212800. Its totient is φ = 7632440524800.

The previous prime is 40193819930833. The next prime is 40193819931077. The reversal of 40193819930880 is 8803991839104.

40193819930880 is a `hidden beast` number, since 4 + 0 + 1 + 93 + 81 + 99 + 308 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 126794384482 + ... + 126794384798.

It is an arithmetic number, because the mean of its divisors is an integer number (42119481600).

Almost surely, 2^{40193819930880} is an apocalyptic number.

40193819930880 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 40193819930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97043285606400).

40193819930880 is an abundant number, since it is smaller than the sum of its proper divisors (153892751281920).

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

40193819930880 is a wasteful number, since it uses less digits than its factorization.

40193819930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 40193819930880 in words is "forty trillion, one hundred ninety-three billion, eight hundred nineteen million, nine hundred thirty thousand, eight hundred eighty".