40200619006080 has 1024 divisors, whose sum is σ = 154319618880000. Its totient is φ = 9831853522944.

The previous prime is 40200619006043. The next prime is 40200619006129. The reversal of 40200619006080 is 8060091600204.

40200619006080 is a `hidden beast` number, since 40 + 2 + 0 + 0 + 6 + 1 + 9 + 0 + 0 + 608 + 0 = 666.

40200619006080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30757932787 + ... + 30757934093.

Almost surely, 2^{40200619006080} is an apocalyptic number.

40200619006080 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 40200619006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77159809440000).

40200619006080 is an abundant number, since it is smaller than the sum of its proper divisors (114118999873920).

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

40200619006080 is a wasteful number, since it uses less digits than its factorization.

40200619006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 40200619006080 in words is "forty trillion, two hundred billion, six hundred nineteen million, six thousand, eighty".