42253145440 has 384 divisors, whose sum is σ = 120786785280. Its totient is φ = 13787136000.

The previous prime is 42253145437. The next prime is 42253145461. The reversal of 42253145440 is 4454135224.

It is a junction number, because it is equal to n+sod(n) for n = 42253145396 and 42253145405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105369240 + ... + 105369640.

It is an arithmetic number, because the mean of its divisors is an integer number (314548920).

Almost surely, 2^42253145440 is an apocalyptic number.

42253145440 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 42253145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60393392640).

42253145440 is an abundant number, since it is smaller than the sum of its proper divisors (78533639840).

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

42253145440 is a wasteful number, since it uses less digits than its factorization.

42253145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 42253145440 in words is "forty-two billion, two hundred fifty-three million, one hundred forty-five thousand, four hundred forty".