2823877405440 has 1296 divisors, whose sum is σ = 12208428872640. Its totient is φ = 590030438400.

The previous prime is 2823877405411. The next prime is 2823877405507. The reversal of 2823877405440 is 445047783282.

2823877405440 is a `hidden beast` number, since 2 + 8 + 23 + 8 + 7 + 74 + 0 + 544 + 0 = 666.

It is a super-2 number, since 2×2823877405440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1485468490 + ... + 1485470390.

Almost surely, 2^{2823877405440} is an apocalyptic number.

2823877405440 is a gapful number since it is divisible by the number (20) 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 2823877405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6104214436320).

2823877405440 is an abundant number, since it is smaller than the sum of its proper divisors (9384551467200).

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

2823877405440 is a wasteful number, since it uses less digits than its factorization.

2823877405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 2823877405440 in words is "two trillion, eight hundred twenty-three billion, eight hundred seventy-seven million, four hundred five thousand, four hundred forty".