1261157405200 has 240 divisors, whose sum is σ = 3781102565376. Its totient is φ = 392721062400.

The previous prime is 1261157405153. The next prime is 1261157405213. The reversal of 1261157405200 is 25047511621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33953839 + ... + 33990961.

Almost surely, 2^{1261157405200} is an apocalyptic number.

1261157405200 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 1261157405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890551282688).

1261157405200 is an abundant number, since it is smaller than the sum of its proper divisors (2519945160176).

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

1261157405200 is a wasteful number, since it uses less digits than its factorization.

1261157405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38262 (or 38251 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 1261157405200 in words is "one trillion, two hundred sixty-one billion, one hundred fifty-seven million, four hundred five thousand, two hundred".