42445553040 has 640 divisors, whose sum is σ = 166328640000. Its totient is φ = 9854853120.

The previous prime is 42445552993. The next prime is 42445553077. The reversal of 42445553040 is 4035554424.

42445553040 is a `hidden beast` number, since 4 + 24 + 45 + 553 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42445552986 and 42445553004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 157790026 + ... + 157790294.

It is an arithmetic number, because the mean of its divisors is an integer number (259888500).

Almost surely, 2^42445553040 is an apocalyptic number.

42445553040 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 42445553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83164320000).

42445553040 is an abundant number, since it is smaller than the sum of its proper divisors (123883086960).

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

42445553040 is a wasteful number, since it uses less digits than its factorization.

42445553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 42445553040 in words is "forty-two billion, four hundred forty-five million, five hundred fifty-three thousand, forty".