42976742400 has 528 divisors, whose sum is σ = 159698424480. Its totient is φ = 11324620800.

The previous prime is 42976742387. The next prime is 42976742443. The reversal of 42976742400 is 424767924.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67046080 + ... + 67046720.

Almost surely, 2^42976742400 is an apocalyptic number.

42976742400 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 42976742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79849212240).

42976742400 is an abundant number, since it is smaller than the sum of its proper divisors (116721682080).

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

42976742400 is a wasteful number, since it uses less digits than its factorization.

42976742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 42976742400 in words is "forty-two billion, nine hundred seventy-six million, seven hundred forty-two thousand, four hundred".