1151315042400 has 216 divisors, whose sum is σ = 4061775279744. Its totient is φ = 306869836800.

The previous prime is 1151315042389. The next prime is 1151315042419. The reversal of 1151315042400 is 42405131511.

1151315042400 is a `hidden beast` number, since 1 + 1 + 5 + 131 + 504 + 24 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15377857 + ... + 15452543.

It is an arithmetic number, because the mean of its divisors is an integer number (18804515184).

Almost surely, 2^{1151315042400} is an apocalyptic number.

1151315042400 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 1151315042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030887639872).

1151315042400 is an abundant number, since it is smaller than the sum of its proper divisors (2910460237344).

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

1151315042400 is a wasteful number, since it uses less digits than its factorization.

1151315042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76854 (or 76838 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 1151315042400 in words is "one trillion, one hundred fifty-one billion, three hundred fifteen million, forty-two thousand, four hundred".