1290401280 has 600 divisors, whose sum is σ = 5418724608. Its totient is φ = 292626432.

The previous prime is 1290401267. The next prime is 1290401311. The reversal of 1290401280 is 821040921.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10160577 + ... + 10160703.

Almost surely, 2^1290401280 is an apocalyptic number.

1290401280 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 1290401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709362304).

1290401280 is an abundant number, since it is smaller than the sum of its proper divisors (4128323328).

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

1290401280 is an equidigital number, since it uses as much as digits as its factorization.

1290401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1290401280 is about 35922.1558373102. The cubic root of 1290401280 is about 1088.7000972768.

The spelling of 1290401280 in words is "one billion, two hundred ninety million, four hundred one thousand, two hundred eighty".