38401354832040 has 192 divisors, whose sum is σ = 128235305586960. Its totient is φ = 9959101009920.

The previous prime is 38401354831999. The next prime is 38401354832101. The reversal of 38401354832040 is 4023845310483.

38401354832040 is a `hidden beast` number, since 3 + 8 + 40 + 1 + 3 + 548 + 3 + 20 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22633482741156 + 15767872090884 = 4757466^2 + 3970878^2 .

It is a super-2 number, since 2×38401354832040² (a number of 28 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28934692 + ... + 30232748.

Almost surely, 2^{38401354832040} is an apocalyptic number.

38401354832040 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 38401354832040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64117652793480).

38401354832040 is an abundant number, since it is smaller than the sum of its proper divisors (89833950754920).

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

38401354832040 is a wasteful number, since it uses less digits than its factorization.

38401354832040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300332 (or 1300325 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 38401354832040 in words is "thirty-eight trillion, four hundred one billion, three hundred fifty-four million, eight hundred thirty-two thousand, forty".