42425224295040 has 512 divisors, whose sum is σ = 160162505280000. Its totient is φ = 10576426106880.

The previous prime is 42425224295021. The next prime is 42425224295059. The reversal of 42425224295040 is 4059242252424.

42425224295040 is a `hidden beast` number, since 4 + 2 + 42 + 522 + 42 + 9 + 5 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (42425224295021) and next prime (42425224295059).

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 63 ways as a sum of consecutive naturals, for example, 43285605 + ... + 44254875.

It is an arithmetic number, because the mean of its divisors is an integer number (312817393125).

Almost surely, 2^{42425224295040} is an apocalyptic number.

42425224295040 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 42425224295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80081252640000).

42425224295040 is an abundant number, since it is smaller than the sum of its proper divisors (117737280984960).

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

42425224295040 is a wasteful number, since it uses less digits than its factorization.

42425224295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969465 (or 969447 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 42425224295040 in words is "forty-two trillion, four hundred twenty-five billion, two hundred twenty-four million, two hundred ninety-five thousand, forty".