4743772160400 has 4800 divisors, whose sum is σ = 23764814954496. Its totient is φ = 877879296000.

The previous prime is 4743772160381. The next prime is 4743772160419. The reversal of 4743772160400 is 40612773474.

4743772160400 is a `hidden beast` number, since 4 + 7 + 4 + 37 + 7 + 2 + 1 + 604 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4743772160381) and next prime (4743772160419).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 66813692365 + ... + 66813692435.

Almost surely, 2^{4743772160400} is an apocalyptic number.

4743772160400 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 4743772160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11882407477248).

4743772160400 is an abundant number, since it is smaller than the sum of its proper divisors (19021042794096).

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

4743772160400 is a wasteful number, since it uses less digits than its factorization.

4743772160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 4743772160400 in words is "four trillion, seven hundred forty-three billion, seven hundred seventy-two million, one hundred sixty thousand, four hundred".