4561402023360 has 3584 divisors, whose sum is σ = 21979589345280. Its totient is φ = 863445712896.

The previous prime is 4561402023301. The next prime is 4561402023419. The reversal of 4561402023360 is 633202041654.

4561402023360 is a `hidden beast` number, since 4 + 5 + 614 + 0 + 2 + 0 + 2 + 3 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4561402023301) and next prime (4561402023419).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 33294905212 + ... + 33294905348.

It is an arithmetic number, because the mean of its divisors is an integer number (6132697920).

Almost surely, 2^{4561402023360} is an apocalyptic number.

4561402023360 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 4561402023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10989794672640).

4561402023360 is an abundant number, since it is smaller than the sum of its proper divisors (17418187321920).

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

4561402023360 is a wasteful number, since it uses less digits than its factorization.

4561402023360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 4561402023360 in words is "four trillion, five hundred sixty-one billion, four hundred two million, twenty-three thousand, three hundred sixty".