43721995464 has 576 divisors, whose sum is σ = 151637616000. Its totient is φ = 11112837120.

The previous prime is 43721995451. The next prime is 43721995469. The reversal of 43721995464 is 46459912734.

43721995464 is a `hidden beast` number, since 4 + 3 + 7 + 2 + 1 + 99 + 546 + 4 = 666.

It is a super-2 number, since 2×43721995464² (a number of 22 digits) contains 22 as substring.

Its product of digits (6531840) is a multiple of the sum of its prime divisors (210).

It is a self number, because there is not a number n which added to its sum of digits gives 43721995464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43721995469) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 491258332 + ... + 491258420.

It is an arithmetic number, because the mean of its divisors is an integer number (263259750).

Almost surely, 2^43721995464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43721995464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75818808000).

43721995464 is an abundant number, since it is smaller than the sum of its proper divisors (107915620536).

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

43721995464 is a wasteful number, since it uses less digits than its factorization.

43721995464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 210 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 43721995464 in words is "forty-three billion, seven hundred twenty-one million, nine hundred ninety-five thousand, four hundred sixty-four".