4262400938880 has 2048 divisors, whose sum is σ = 19402260480000. Its totient is φ = 861993861120.

The previous prime is 4262400938863. The next prime is 4262400938891. The reversal of 4262400938880 is 888390042624.

4262400938880 is a `hidden beast` number, since 4 + 2 + 624 + 0 + 0 + 9 + 3 + 8 + 8 + 8 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2066116729 + ... + 2066118791.

It is an arithmetic number, because the mean of its divisors is an integer number (9473760000).

Almost surely, 2^{4262400938880} is an apocalyptic number.

4262400938880 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 4262400938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9701130240000).

4262400938880 is an abundant number, since it is smaller than the sum of its proper divisors (15139859541120).

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

4262400938880 is a wasteful number, since it uses less digits than its factorization.

4262400938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 4262400938880 in words is "four trillion, two hundred sixty-two billion, four hundred million, nine hundred thirty-eight thousand, eight hundred eighty".