1000162310400 has 1296 divisors, whose sum is σ = 4135002842880. Its totient is φ = 228096000000.

The previous prime is 1000162310369. The next prime is 1000162310429. The reversal of 1000162310400 is 40132610001.

It is a happy number.

1000162310400 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 623 + 1 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3021638235 + ... + 3021638565.

Almost surely, 2^{1000162310400} is an apocalyptic number.

1000162310400 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 1000162310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067501421440).

1000162310400 is an abundant number, since it is smaller than the sum of its proper divisors (3134840532480).

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

1000162310400 is a wasteful number, since it uses less digits than its factorization.

1000162310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1000162310400 its reverse (40132610001), we get a palindrome (1040294920401).

The spelling of 1000162310400 in words is "one trillion, one hundred sixty-two million, three hundred ten thousand, four hundred".