1121416358400 has 2400 divisors, whose sum is σ = 4899430166400. Its totient is φ = 250822656000.

The previous prime is 1121416358369. The next prime is 1121416358401. The reversal of 1121416358400 is 48536141211.

1121416358400 is a `hidden beast` number, since 1 + 1 + 2 + 14 + 1 + 63 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is not an unprimeable number, because it can be changed into a prime (1121416358401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7426598325 + ... + 7426598475.

It is an arithmetic number, because the mean of its divisors is an integer number (2041429236).

Almost surely, 2^{1121416358400} is an apocalyptic number.

1121416358400 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 1121416358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449715083200).

1121416358400 is an abundant number, since it is smaller than the sum of its proper divisors (3778013808000).

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

1121416358400 is a wasteful number, since it uses less digits than its factorization.

1121416358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

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

The spelling of 1121416358400 in words is "one trillion, one hundred twenty-one billion, four hundred sixteen million, three hundred fifty-eight thousand, four hundred".