38141851440 has 640 divisors, whose sum is σ = 157237936128. Its totient is φ = 7404503040.

The previous prime is 38141851381. The next prime is 38141851469. The reversal of 38141851440 is 4415814183.

38141851440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52464357 + ... + 52465083.

Almost surely, 2^38141851440 is an apocalyptic number.

38141851440 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 38141851440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78618968064).

38141851440 is an abundant number, since it is smaller than the sum of its proper divisors (119096084688).

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

38141851440 is a wasteful number, since it uses less digits than its factorization.

38141851440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 38141851440 in words is "thirty-eight billion, one hundred forty-one million, eight hundred fifty-one thousand, four hundred forty".