442266146153040 has 320 divisors, whose sum is σ = 1510586341143552. Its totient is φ = 106147565568000.

The previous prime is 442266146152973. The next prime is 442266146153059. The reversal of 442266146153040 is 40351641662244.

It is a super-2 number, since 2×442266146153040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 451761519 + ... + 452739441.

Almost surely, 2^{442266146153040} is an apocalyptic number.

442266146153040 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 442266146153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755293170571776).

442266146153040 is an abundant number, since it is smaller than the sum of its proper divisors (1068320194990512).

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

442266146153040 is a wasteful number, since it uses less digits than its factorization.

442266146153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979658 (or 979652 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 442266146153040 in words is "four hundred forty-two trillion, two hundred sixty-six billion, one hundred forty-six million, one hundred fifty-three thousand, forty".