1001402400 has 72 divisors (see below), whose sum is σ = 3259572624. Its totient is φ = 267040000.

The previous prime is 1001402377. The next prime is 1001402449. The reversal of 1001402400 is 42041001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206226 + ... + 211025.

It is an arithmetic number, because the mean of its divisors is an integer number (45271842).

Almost surely, 2^1001402400 is an apocalyptic number.

1001402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001402400 is an abundant number, since it is smaller than the sum of its proper divisors (2258170224).

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

1001402400 is a wasteful number, since it uses less digits than its factorization.

1001402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417274 (or 417261 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1001402400 is about 31644.9427239172. The cubic root of 1001402400 is about 1000.4672483117.

Adding to 1001402400 its reverse (42041001), we get a palindrome (1043443401).

The spelling of 1001402400 in words is "one billion, one million, four hundred two thousand, four hundred".