4738622423040 has 1440 divisors, whose sum is σ = 19491918732000. Its totient is φ = 1053189734400.

The previous prime is 4738622422991. The next prime is 4738622423083. The reversal of 4738622423040 is 403242268374.

4738622423040 is a `hidden beast` number, since 4 + 7 + 386 + 224 + 2 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152858787825 + ... + 152858787855.

It is an arithmetic number, because the mean of its divisors is an integer number (13536054675).

Almost surely, 2^{4738622423040} is an apocalyptic number.

4738622423040 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 4738622423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9745959366000).

4738622423040 is an abundant number, since it is smaller than the sum of its proper divisors (14753296308960).

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

4738622423040 is an equidigital number, since it uses as much as digits as its factorization.

4738622423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 4738622423040 in words is "four trillion, seven hundred thirty-eight billion, six hundred twenty-two million, four hundred twenty-three thousand, forty".