40290335661420 has 288 divisors, whose sum is σ = 138735004262400. Its totient is φ = 9382565933568.

The previous prime is 40290335661397. The next prime is 40290335661503. The reversal of 40290335661420 is 2416653309204.

40290335661420 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 0 + 3 + 3 + 5 + 6 + 614 + 20 = 666.

It is a super-2 number, since 2×40290335661420² (a number of 28 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 31336549 + ... + 32596931.

It is an arithmetic number, because the mean of its divisors is an integer number (481718764800).

Almost surely, 2^{40290335661420} 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 40290335661420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69367502131200).

40290335661420 is an abundant number, since it is smaller than the sum of its proper divisors (98444668600980).

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

40290335661420 is a wasteful number, since it uses less digits than its factorization.

40290335661420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261149 (or 1261144 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 40290335661420 in words is "forty trillion, two hundred ninety billion, three hundred thirty-five million, six hundred sixty-one thousand, four hundred twenty".