1141504358400 has 2016 divisors, whose sum is σ = 5154872879520. Its totient is φ = 244611809280.

The previous prime is 1141504358389. The next prime is 1141504358411. The reversal of 1141504358400 is 48534051411.

1141504358400 is a `hidden beast` number, since 1 + 1 + 41 + 504 + 35 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1141504358389) and next prime (1141504358411).

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4441651072 + ... + 4441651328.

It is an arithmetic number, because the mean of its divisors is an integer number (2556980595).

Almost surely, 2^{1141504358400} is an apocalyptic number.

1141504358400 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 1141504358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577436439760).

1141504358400 is an abundant number, since it is smaller than the sum of its proper divisors (4013368521120).

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

1141504358400 is an equidigital number, since it uses as much as digits as its factorization.

1141504358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1141504358400 in words is "one trillion, one hundred forty-one billion, five hundred four million, three hundred fifty-eight thousand, four hundred".