40211645685120 has 4096 divisors, whose sum is σ = 189905264640000. Its totient is φ = 7806747672576.

The previous prime is 40211645685119. The next prime is 40211645685161. The reversal of 40211645685120 is 2158654611204.

40211645685120 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 1 + 64 + 568 + 5 + 1 + 20 = 666.

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

It is a congruent number.

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, 224646065191 + ... + 224646065369.

It is an arithmetic number, because the mean of its divisors is an integer number (46363590000).

Almost surely, 2^{40211645685120} is an apocalyptic number.

40211645685120 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 40211645685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94952632320000).

40211645685120 is an abundant number, since it is smaller than the sum of its proper divisors (149693618954880).

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

40211645685120 is a wasteful number, since it uses less digits than its factorization.

40211645685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 40211645685120 in words is "forty trillion, two hundred eleven billion, six hundred forty-five million, six hundred eighty-five thousand, one hundred twenty".