1012158400 has 168 divisors, whose sum is σ = 2743931520. Its totient is φ = 364416000.

The previous prime is 1012158383. The next prime is 1012158409. The reversal of 1012158400 is 48512101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012158409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2305381 + ... + 2305819.

Almost surely, 2^1012158400 is an apocalyptic number.

1012158400 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 1012158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371965760).

1012158400 is an abundant number, since it is smaller than the sum of its proper divisors (1731773120).

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

1012158400 is a wasteful number, since it uses less digits than its factorization.

1012158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 1012158400 is about 31814.4369744303. The cubic root of 1012158400 is about 1004.0364848675.

The spelling of 1012158400 in words is "one billion, twelve million, one hundred fifty-eight thousand, four hundred".