4535660144400 has 480 divisors, whose sum is σ = 18234385115136. Its totient is φ = 936230400000.

The previous prime is 4535660144387. The next prime is 4535660144413. The reversal of 4535660144400 is 44410665354.

It is an interprime number because it is at equal distance from previous prime (4535660144387) and next prime (4535660144413).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13789860 + ... + 14114940.

Almost surely, 2^{4535660144400} is an apocalyptic number.

4535660144400 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 4535660144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9117192557568).

4535660144400 is an abundant number, since it is smaller than the sum of its proper divisors (13698724970736).

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

4535660144400 is a wasteful number, since it uses less digits than its factorization.

4535660144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325271 (or 325260 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 4535660144400 in words is "four trillion, five hundred thirty-five billion, six hundred sixty million, one hundred forty-four thousand, four hundred".