1290038400 has 672 divisors, whose sum is σ = 5529705600. Its totient is φ = 291133440.

The previous prime is 1290038381. The next prime is 1290038413. The reversal of 1290038400 is 48300921.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 16329561 + ... + 16329639.

Almost surely, 2^1290038400 is an apocalyptic number.

1290038400 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 1290038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764852800).

1290038400 is an abundant number, since it is smaller than the sum of its proper divisors (4239667200).

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

1290038400 is an frugal number, since it uses more digits than its factorization.

1290038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1290038400 is about 35917.1045603623. The cubic root of 1290038400 is about 1088.5980348315.

The spelling of 1290038400 in words is "one billion, two hundred ninety million, thirty-eight thousand, four hundred".