42736404480 has 1152 divisors, whose sum is σ = 181503504000. Its totient is φ = 8477736960.

The previous prime is 42736404457. The next prime is 42736404497. The reversal of 42736404480 is 8440463724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 480184276 + ... + 480184364.

It is an arithmetic number, because the mean of its divisors is an integer number (157555125).

Almost surely, 2^42736404480 is an apocalyptic number.

42736404480 is a gapful number since it is divisible by the number (40) 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 42736404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90751752000).

42736404480 is an abundant number, since it is smaller than the sum of its proper divisors (138767099520).

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

42736404480 is a wasteful number, since it uses less digits than its factorization.

42736404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 42736404480 in words is "forty-two billion, seven hundred thirty-six million, four hundred four thousand, four hundred eighty".