938742540480 has 560 divisors, whose sum is σ = 3548925791136. Its totient is φ = 234724884480.

The previous prime is 938742540457. The next prime is 938742540509. The reversal of 938742540480 is 84045247839.

938742540480 is a `hidden beast` number, since 9 + 3 + 87 + 42 + 5 + 40 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 122053435 + ... + 122061125.

Almost surely, 2^938742540480 is an apocalyptic number.

938742540480 is a gapful number since it is divisible by the number (90) 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 938742540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774462895568).

938742540480 is an abundant number, since it is smaller than the sum of its proper divisors (2610183250656).

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

938742540480 is a wasteful number, since it uses less digits than its factorization.

938742540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014 (or 7995 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 938742540480 in words is "nine hundred thirty-eight billion, seven hundred forty-two million, five hundred forty thousand, four hundred eighty".