238090436640 has 384 divisors, whose sum is σ = 955934784000. Its totient is φ = 54216511488.

The previous prime is 238090436627. The next prime is 238090436747. The reversal of 238090436640 is 46634090832.

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 63 ways as a sum of consecutive naturals, for example, 8119926 + ... + 8149194.

It is an arithmetic number, because the mean of its divisors is an integer number (2489413500).

Almost surely, 2^238090436640 is an apocalyptic number.

238090436640 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 238090436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477967392000).

238090436640 is an abundant number, since it is smaller than the sum of its proper divisors (717844347360).

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

238090436640 is a wasteful number, since it uses less digits than its factorization.

238090436640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29569 (or 29555 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 238090436640 in words is "two hundred thirty-eight billion, ninety million, four hundred thirty-six thousand, six hundred forty".