1121658602400 has 288 divisors, whose sum is σ = 4636189514880. Its totient is φ = 256379074560.

The previous prime is 1121658602299. The next prime is 1121658602479. The reversal of 1121658602400 is 42068561211.

It is a happy number.

1121658602400 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 6 + 5 + 8 + 602 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3557989 + ... + 3860388.

It is an arithmetic number, because the mean of its divisors is an integer number (16097880260).

Almost surely, 2^{1121658602400} is an apocalyptic number.

1121658602400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121658602400 is an abundant number, since it is smaller than the sum of its proper divisors (3514530912480).

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

1121658602400 is a wasteful number, since it uses less digits than its factorization.

1121658602400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418413 (or 7418394 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1121658602400 in words is "one trillion, one hundred twenty-one billion, six hundred fifty-eight million, six hundred two thousand, four hundred".