422087004743040 has 3840 divisors, whose sum is σ = 1927818938707200. Its totient is φ = 87212709642240.

The previous prime is 422087004743023. The next prime is 422087004743069. The reversal of 422087004743040 is 40347400780224.

422087004743040 is a `hidden beast` number, since 4 + 2 + 208 + 7 + 0 + 0 + 4 + 7 + 430 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 357397971250 + ... + 357397972430.

It is an arithmetic number, because the mean of its divisors is an integer number (502036181955).

Almost surely, 2^{422087004743040} is an apocalyptic number.

422087004743040 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 422087004743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963909469353600).

422087004743040 is an abundant number, since it is smaller than the sum of its proper divisors (1505731933964160).

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

422087004743040 is a wasteful number, since it uses less digits than its factorization.

422087004743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 422087004743040 in words is "four hundred twenty-two trillion, eighty-seven billion, four million, seven hundred forty-three thousand, forty".