40961122944 has 128 divisors (see below), whose sum is σ = 130890969600. Its totient is φ = 11087207424.

The previous prime is 40961122921. The next prime is 40961122997. The reversal of 40961122944 is 44922116904.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 40961122896 and 40961122905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349942 + ... + 452085.

It is an arithmetic number, because the mean of its divisors is an integer number (1022585700).

Almost surely, 2^40961122944 is an apocalyptic number.

It is an amenable number.

40961122944 is an abundant number, since it is smaller than the sum of its proper divisors (89929846656).

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

40961122944 is a wasteful number, since it uses less digits than its factorization.

40961122944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802070 (or 802058 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 40961122944 in words is "forty billion, nine hundred sixty-one million, one hundred twenty-two thousand, nine hundred forty-four".