456234142019040 has 6144 divisors, whose sum is σ = 2228141260800000. Its totient is φ = 85397589688320.

The previous prime is 456234142019039. The next prime is 456234142019093. The reversal of 456234142019040 is 40910241432654.

456234142019040 is a `hidden beast` number, since 4 + 5 + 6 + 2 + 3 + 414 + 2 + 0 + 190 + 40 = 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 1023 ways as a sum of consecutive naturals, for example, 1172838411166 + ... + 1172838411554.

It is an arithmetic number, because the mean of its divisors is an integer number (362653200000).

Almost surely, 2^{456234142019040} is an apocalyptic number.

456234142019040 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 456234142019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114070630400000).

456234142019040 is an abundant number, since it is smaller than the sum of its proper divisors (1771907118780960).

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

456234142019040 is a wasteful number, since it uses less digits than its factorization.

456234142019040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 456234142019040 in words is "four hundred fifty-six trillion, two hundred thirty-four billion, one hundred forty-two million, nineteen thousand, forty".