1041279741936 has 800 divisors, whose sum is σ = 3811169640960. Its totient is φ = 267784538112.

The previous prime is 1041279741907. The next prime is 1041279741941. The reversal of 1041279741936 is 6391479721401.

1041279741936 is a `hidden beast` number, since 1 + 0 + 412 + 79 + 74 + 1 + 93 + 6 = 666.

It is a super-3 number, since 3×1041279741936³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 274235590 + ... + 274239386.

Almost surely, 2^{1041279741936} is an apocalyptic number.

1041279741936 is a gapful number since it is divisible by the number (16) 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 1041279741936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905584820480).

1041279741936 is an abundant number, since it is smaller than the sum of its proper divisors (2769889899024).

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

1041279741936 is a wasteful number, since it uses less digits than its factorization.

1041279741936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1041279741936 in words is "one trillion, forty-one billion, two hundred seventy-nine million, seven hundred forty-one thousand, nine hundred thirty-six".