38263357440 has 768 divisors, whose sum is σ = 165865415040. Its totient is φ = 7927234560.

The previous prime is 38263357411. The next prime is 38263357453. The reversal of 38263357440 is 4475336283.

38263357440 is a `hidden beast` number, since 3 + 8 + 2 + 6 + 33 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 47 ways as a sum of consecutive naturals, for example, 113540952 + ... + 113541288.

Almost surely, 2^38263357440 is an apocalyptic number.

38263357440 is a gapful number since it is divisible by the number (30) 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 38263357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82932707520).

38263357440 is an abundant number, since it is smaller than the sum of its proper divisors (127602057600).

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

38263357440 is a wasteful number, since it uses less digits than its factorization.

38263357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 38263357440 in words is "thirty-eight billion, two hundred sixty-three million, three hundred fifty-seven thousand, four hundred forty".