37405322922240 has 864 divisors, whose sum is σ = 159397690233600. Its totient is φ = 7886496006144.

The previous prime is 37405322922221. The next prime is 37405322922257. The reversal of 37405322922240 is 4222922350473.

37405322922240 is a `hidden beast` number, since 3 + 7 + 4 + 0 + 532 + 2 + 92 + 2 + 24 + 0 = 666.

37405322922240 is digitally balanced in base 6, 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 (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, 1565129811 + ... + 1565153709.

It is an arithmetic number, because the mean of its divisors is an integer number (184488067400).

Almost surely, 2^{37405322922240} is an apocalyptic number.

37405322922240 is a gapful number since it is divisible by the number (30) 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 37405322922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79698845116800).

37405322922240 is an abundant number, since it is smaller than the sum of its proper divisors (121992367311360).

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

37405322922240 is a wasteful number, since it uses less digits than its factorization.

37405322922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25439 (or 25422 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 37405322922240 in words is "thirty-seven trillion, four hundred five billion, three hundred twenty-two million, nine hundred twenty-two thousand, two hundred forty".