4279802365440 has 1600 divisors, whose sum is σ = 18650109316608. Its totient is φ = 915701760000.

The previous prime is 4279802365379. The next prime is 4279802365507. The reversal of 4279802365440 is 445632089724.

It is a happy number.

4279802365440 is a `hidden beast` number, since 4 + 2 + 7 + 98 + 0 + 2 + 3 + 6 + 544 + 0 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6193635495 + ... + 6193636185.

Almost surely, 2^{4279802365440} is an apocalyptic number.

4279802365440 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 4279802365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9325054658304).

4279802365440 is an abundant number, since it is smaller than the sum of its proper divisors (14370306951168).

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

4279802365440 is a wasteful number, since it uses less digits than its factorization.

4279802365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4279802365440 in words is "four trillion, two hundred seventy-nine billion, eight hundred two million, three hundred sixty-five thousand, four hundred forty".