1041020400 has 120 divisors (see below), whose sum is σ = 3811156864. Its totient is φ = 237945600.

The previous prime is 1041020399. The next prime is 1041020413. The reversal of 1041020400 is 40201401.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53566 + ... + 70365.

Almost surely, 2^1041020400 is an apocalyptic number.

1041020400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041020400 is an abundant number, since it is smaller than the sum of its proper divisors (2770136464).

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

1041020400 is a wasteful number, since it uses less digits than its factorization.

1041020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123959 (or 123948 counting only the distinct ones).

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

The square root of 1041020400 is about 32264.8477448755. The cubic root of 1041020400 is about 1013.4906505910.

Adding to 1041020400 its reverse (40201401), we get a palindrome (1081221801).

The spelling of 1041020400 in words is "one billion, forty-one million, twenty thousand, four hundred".