1012001400 has 144 divisors (see below), whose sum is σ = 3516013800. Its totient is φ = 260547840.

The previous prime is 1012001383. The next prime is 1012001437. The reversal of 1012001400 is 41002101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42507 + ... + 61893.

Almost surely, 2^1012001400 is an apocalyptic number.

1012001400 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 1012001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758006900).

1012001400 is an abundant number, since it is smaller than the sum of its proper divisors (2504012400).

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

1012001400 is a wasteful number, since it uses less digits than its factorization.

1012001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19438 (or 19426 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1012001400 is about 31811.9694454776. The cubic root of 1012001400 is about 1003.9845687908.

Adding to 1012001400 its reverse (41002101), we get a palindrome (1053003501).

The spelling of 1012001400 in words is "one billion, twelve million, one thousand, four hundred".