402787000314240 has 256 divisors, whose sum is σ = 1292819548055040. Its totient is φ = 106662758400000.

The previous prime is 402787000314211. The next prime is 402787000314317. The reversal of 402787000314240 is 42413000787204.

It is a junction number, because it is equal to n+sod(n) for n = 402787000314192 and 402787000314201.

It is a congruent 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, 869818447 + ... + 870281393.

It is an arithmetic number, because the mean of its divisors is an integer number (5050076359590).

Almost surely, 2^{402787000314240} is an apocalyptic number.

402787000314240 is a gapful number since it is divisible by the number (40) 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 402787000314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646409774027520).

402787000314240 is an abundant number, since it is smaller than the sum of its proper divisors (890032547740800).

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

402787000314240 is a wasteful number, since it uses less digits than its factorization.

402787000314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466121 (or 466109 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 402787000314240 in words is "four hundred two trillion, seven hundred eighty-seven billion, three hundred fourteen thousand, two hundred forty".