1146075395400 has 288 divisors, whose sum is σ = 4147658074560. Its totient is φ = 281928107520.

The previous prime is 1146075395383. The next prime is 1146075395401. The reversal of 1146075395400 is 45935706411.

1146075395400 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 0 + 75 + 39 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1146075395401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38056749 + ... + 38086851.

Almost surely, 2^{1146075395400} is an apocalyptic number.

1146075395400 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 1146075395400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073829037280).

1146075395400 is an abundant number, since it is smaller than the sum of its proper divisors (3001582679160).

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

1146075395400 is a wasteful number, since it uses less digits than its factorization.

1146075395400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31765 (or 31753 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1146075395400 in words is "one trillion, one hundred forty-six billion, seventy-five million, three hundred ninety-five thousand, four hundred".