126365605033440 has 96 divisors (see below), whose sum is σ = 421466459168160. Its totient is φ = 31715289104384.

The previous prime is 126365605033333. The next prime is 126365605033441. The reversal of 126365605033440 is 44330506563621.

126365605033440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×126365605033440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 126365605033440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126365605033441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7742982345 + ... + 7742998664.

It is an arithmetic number, because the mean of its divisors is an integer number (4390275616335).

Almost surely, 2^{126365605033440} is an apocalyptic number.

126365605033440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126365605033440 is an abundant number, since it is smaller than the sum of its proper divisors (295100854134720).

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

126365605033440 is a wasteful number, since it uses less digits than its factorization.

126365605033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15485981044 (or 15485981036 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 126365605033440 in words is "one hundred twenty-six trillion, three hundred sixty-five billion, six hundred five million, thirty-three thousand, four hundred forty".