1261044937152 has 672 divisors, whose sum is σ = 4859700378624. Its totient is φ = 301938278400.

The previous prime is 1261044937129. The next prime is 1261044937183. The reversal of 1261044937152 is 2517394401621.

1261044937152 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 0 + 4 + 493 + 7 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1261044937152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1261044937098 and 1261044937107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 784719133 + ... + 784720739.

It is an arithmetic number, because the mean of its divisors is an integer number (7231696992).

Almost surely, 2^{1261044937152} is an apocalyptic number.

1261044937152 is a gapful number since it is divisible by the number (12) 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 1261044937152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429850189312).

1261044937152 is an abundant number, since it is smaller than the sum of its proper divisors (3598655441472).

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

1261044937152 is a wasteful number, since it uses less digits than its factorization.

1261044937152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1261044937152 in words is "one trillion, two hundred sixty-one billion, forty-four million, nine hundred thirty-seven thousand, one hundred fifty-two".