120766544065440 has 1152 divisors, whose sum is σ = 518250504844800. Its totient is φ = 24931381837824.

The previous prime is 120766544065411. The next prime is 120766544065441. The reversal of 120766544065440 is 44560445667021.

120766544065440 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 6 + 6 + 54 + 40 + 6 + 544 + 0 = 666.

It is a super-2 number, since 2×120766544065440² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120766544065441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1308126162 + ... + 1308218478.

It is an arithmetic number, because the mean of its divisors is an integer number (449870229900).

Almost surely, 2^{120766544065440} is an apocalyptic number.

120766544065440 is a gapful number since it is divisible by the number (10) 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 120766544065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259125252422400).

120766544065440 is an abundant number, since it is smaller than the sum of its proper divisors (397483960779360).

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

120766544065440 is a wasteful number, since it uses less digits than its factorization.

120766544065440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92574 (or 92563 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 120766544065440 in words is "one hundred twenty trillion, seven hundred sixty-six billion, five hundred forty-four million, sixty-five thousand, four hundred forty".