38378005079040 has 4224 divisors, whose sum is σ = 171091836518400. Its totient is φ = 8158902681600.

The previous prime is 38378005079039. The next prime is 38378005079081. The reversal of 38378005079040 is 4097050087383.

38378005079040 is a `hidden beast` number, since 3 + 8 + 3 + 7 + 8 + 0 + 0 + 507 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1238000163825 + ... + 1238000163855.

Almost surely, 2^{38378005079040} is an apocalyptic number.

38378005079040 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 38378005079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85545918259200).

38378005079040 is an abundant number, since it is smaller than the sum of its proper divisors (132713831439360).

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

38378005079040 is a wasteful number, since it uses less digits than its factorization.

38378005079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 38378005079040 in words is "thirty-eight trillion, three hundred seventy-eight billion, five million, seventy-nine thousand, forty".