126961027747840 has 1664 divisors, whose sum is σ = 380774690408448. Its totient is φ = 40007620362240.

The previous prime is 126961027747789. The next prime is 126961027747901. The reversal of 126961027747840 is 48747720169621.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×126961027747840² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 494011780992 + ... + 494011781248.

Almost surely, 2^{126961027747840} is an apocalyptic number.

126961027747840 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 126961027747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190387345204224).

126961027747840 is an abundant number, since it is smaller than the sum of its proper divisors (253813662660608).

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

126961027747840 is a wasteful number, since it uses less digits than its factorization.

126961027747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 64.

The spelling of 126961027747840 in words is "one hundred twenty-six trillion, nine hundred sixty-one billion, twenty-seven million, seven hundred forty-seven thousand, eight hundred forty".