1402028474688 has 448 divisors, whose sum is σ = 4496848512000. Its totient is φ = 426659788800.

The previous prime is 1402028474657. The next prime is 1402028474753. The reversal of 1402028474688 is 8864748202041.

1402028474688 is a `hidden beast` number, since 140 + 2 + 0 + 28 + 474 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 657919383 + ... + 657921513.

Almost surely, 2^{1402028474688} is an apocalyptic number.

1402028474688 is a gapful number since it is divisible by the number (18) 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 1402028474688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248424256000).

1402028474688 is an abundant number, since it is smaller than the sum of its proper divisors (3094820037312).

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

1402028474688 is a wasteful number, since it uses less digits than its factorization.

1402028474688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 1402028474688 in words is "one trillion, four hundred two billion, twenty-eight million, four hundred seventy-four thousand, six hundred eighty-eight".