1041550400 has 336 divisors, whose sum is σ = 3047804928. Its totient is φ = 346368000.

The previous prime is 1041550361. The next prime is 1041550421. The reversal of 1041550400 is 40551401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12548759 + ... + 12548841.

It is an arithmetic number, because the mean of its divisors is an integer number (9070848).

Almost surely, 2^1041550400 is an apocalyptic number.

1041550400 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 1041550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523902464).

1041550400 is an abundant number, since it is smaller than the sum of its proper divisors (2006254528).

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

1041550400 is a wasteful number, since it uses less digits than its factorization.

1041550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1041550400 is about 32273.0599726769. The cubic root of 1041550400 is about 1013.6626161335.

The spelling of 1041550400 in words is "one billion, forty-one million, five hundred fifty thousand, four hundred".