1012541400 has 144 divisors (see below), whose sum is σ = 3662109360. Its totient is φ = 249235200.

The previous prime is 1012541399. The next prime is 1012541417. The reversal of 1012541400 is 41452101.

1012541400 is a `hidden beast` number, since 10 + 1 + 254 + 1 + 400 = 666.

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

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, 1765 + ... + 45035.

It is an arithmetic number, because the mean of its divisors is an integer number (25431315).

Almost surely, 2^1012541400 is an apocalyptic number.

1012541400 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 1012541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831054680).

1012541400 is an abundant number, since it is smaller than the sum of its proper divisors (2649567960).

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

1012541400 is a wasteful number, since it uses less digits than its factorization.

1012541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43306 (or 43294 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1012541400 is about 31820.4556849835. The cubic root of 1012541400 is about 1004.1631111215.

Adding to 1012541400 its reverse (41452101), we get a palindrome (1053993501).

The spelling of 1012541400 in words is "one billion, twelve million, five hundred forty-one thousand, four hundred".