4541501966400 has 1701 divisors, whose sum is σ = 19555105507821. Its totient is φ = 996731688960.

The previous prime is 4541501966329. The next prime is 4541501966471. The reversal of 4541501966400 is 46691051454.

4541501966400 = 1³ + 2³ + ... + 2064³.

The square root of 4541501966400 is 2131080.

It is a perfect power (a square), and thus also a powerful number.

4541501966400 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 50 + 196 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (4541501966329) and next prime (4541501966471).

It can be written as a sum of positive squares in only one way, i.e., 1634940707904 + 2906561258496 = 1278648^2 + 1704864^2 .

It is a super-2 number, since 2×4541501966400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 76974609571 + ... + 76974609629.

Almost surely, 2^{4541501966400} is an apocalyptic number.

4541501966400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4541501966400 is the 2131080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4541501966400

4541501966400 is an abundant number, since it is smaller than the sum of its proper divisors (15013603541421).

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

4541501966400 is a wasteful number, since it uses less digits than its factorization.

4541501966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 4541501966400 in words is "four trillion, five hundred forty-one billion, five hundred one million, nine hundred sixty-six thousand, four hundred".