43214963040 has 144 divisors (see below), whose sum is σ = 147601739376. Its totient is φ = 11513779200.

The previous prime is 43214963039. The next prime is 43214963047. The reversal of 43214963040 is 4036941234.

It is a happy number.

43214963040 is a `hidden beast` number, since 4 + 3 + 2 + 14 + 9 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 43214962986 and 43214963004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43214963047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1687935 + ... + 1713345.

It is an arithmetic number, because the mean of its divisors is an integer number (1025012079).

Almost surely, 2^43214963040 is an apocalyptic number.

43214963040 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 43214963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73800869688).

43214963040 is an abundant number, since it is smaller than the sum of its proper divisors (104386776336).

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

43214963040 is a wasteful number, since it uses less digits than its factorization.

43214963040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26613 (or 26602 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 43214963040 in words is "forty-three billion, two hundred fourteen million, nine hundred sixty-three thousand, forty".