1401480288768 has 320 divisors, whose sum is σ = 4321837099008. Its totient is φ = 395304222720.

The previous prime is 1401480288739. The next prime is 1401480288781. The reversal of 1401480288768 is 8678820841041.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357792346 + ... + 357796262.

Almost surely, 2^{1401480288768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401480288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160918549504).

1401480288768 is an abundant number, since it is smaller than the sum of its proper divisors (2920356810240).

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

1401480288768 is a wasteful number, since it uses less digits than its factorization.

1401480288768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 57.

The spelling of 1401480288768 in words is "one trillion, four hundred one billion, four hundred eighty million, two hundred eighty-eight thousand, seven hundred sixty-eight".