36440336401920 has 1600 divisors, whose sum is σ = 144519096471552. Its totient is φ = 8702484480000.

The previous prime is 36440336401867. The next prime is 36440336401927. The reversal of 36440336401920 is 2910463304463.

36440336401920 is a `hidden beast` number, since 3 + 64 + 40 + 3 + 364 + 0 + 192 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36440336401927) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 84548344105 + ... + 84548344535.

Almost surely, 2^{36440336401920} is an apocalyptic number.

36440336401920 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 36440336401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72259548235776).

36440336401920 is an abundant number, since it is smaller than the sum of its proper divisors (108078760069632).

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

36440336401920 is a wasteful number, since it uses less digits than its factorization.

36440336401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 36440336401920 in words is "thirty-six trillion, four hundred forty billion, three hundred thirty-six million, four hundred one thousand, nine hundred twenty".