40328586214020 has 576 divisors, whose sum is σ = 138762082368000. Its totient is φ = 9772322402304.

The previous prime is 40328586214009. The next prime is 40328586214039. The reversal of 40328586214020 is 2041268582304.

40328586214020 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 8 + 586 + 2 + 1 + 40 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1287655921 + ... + 1287687239.

It is an arithmetic number, because the mean of its divisors is an integer number (240906393000).

Almost surely, 2^{40328586214020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40328586214020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69381041184000).

40328586214020 is an abundant number, since it is smaller than the sum of its proper divisors (98433496153980).

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

40328586214020 is a wasteful number, since it uses less digits than its factorization.

40328586214020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31674 (or 31660 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 40328586214020 in words is "forty trillion, three hundred twenty-eight billion, five hundred eighty-six million, two hundred fourteen thousand, twenty".