38149309440 has 528 divisors, whose sum is σ = 146320477056. Its totient is φ = 9112780800.

The previous prime is 38149309439. The next prime is 38149309489. The reversal of 38149309440 is 4490394183.

It is a happy number.

38149309440 is a `hidden beast` number, since 38 + 1 + 493 + 0 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×38149309440² (a number of 22 digits) contains 22 as substring.

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, 37001725 + ... + 37002755.

Almost surely, 2^38149309440 is an apocalyptic number.

38149309440 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 38149309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73160238528).

38149309440 is an abundant number, since it is smaller than the sum of its proper divisors (108171167616).

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

38149309440 is a wasteful number, since it uses less digits than its factorization.

38149309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 38149309440 in words is "thirty-eight billion, one hundred forty-nine million, three hundred nine thousand, four hundred forty".