1145102510400 has 672 divisors, whose sum is σ = 4096249823232. Its totient is φ = 278949888000.

The previous prime is 1145102510381. The next prime is 1145102510413. The reversal of 1145102510400 is 40152015411.

It is a super-2 number, since 2×1145102510400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 487069225 + ... + 487071575.

It is an arithmetic number, because the mean of its divisors is an integer number (6095609856).

Almost surely, 2^{1145102510400} is an apocalyptic number.

1145102510400 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 1145102510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048124911616).

1145102510400 is an abundant number, since it is smaller than the sum of its proper divisors (2951147312832).

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

1145102510400 is a wasteful number, since it uses less digits than its factorization.

1145102510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 1145102510400 its reverse (40152015411), we get a palindrome (1185254525811).

The spelling of 1145102510400 in words is "one trillion, one hundred forty-five billion, one hundred two million, five hundred ten thousand, four hundred".