2638842429440 has 152 divisors (see below), whose sum is σ = 7237979166912. Its totient is φ = 904742830080.

The previous prime is 2638842429439. The next prime is 2638842429491. The reversal of 2638842429440 is 449242488362.

It is a super-3 number, since 3×2638842429440³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9031235 + ... + 9318845.

Almost surely, 2^{2638842429440} is an apocalyptic number.

2638842429440 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 2638842429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618989583456).

2638842429440 is an abundant number, since it is smaller than the sum of its proper divisors (4599136737472).

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

2638842429440 is an frugal number, since it uses more digits than its factorization.

2638842429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287659 (or 287625 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 56.

The spelling of 2638842429440 in words is "two trillion, six hundred thirty-eight billion, eight hundred forty-two million, four hundred twenty-nine thousand, four hundred forty".