4312722839040 has 1600 divisors, whose sum is σ = 19351691555328. Its totient is φ = 891813888000.

The previous prime is 4312722839023. The next prime is 4312722839057. The reversal of 4312722839040 is 409382272134.

4312722839040 is a `hidden beast` number, since 4 + 31 + 2 + 7 + 228 + 390 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4312722839023) and next prime (4312722839057).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4103446515 + ... + 4103447565.

Almost surely, 2^{4312722839040} is an apocalyptic number.

4312722839040 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 4312722839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9675845777664).

4312722839040 is an abundant number, since it is smaller than the sum of its proper divisors (15038968716288).

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

4312722839040 is a wasteful number, since it uses less digits than its factorization.

4312722839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4312722839040 in words is "four trillion, three hundred twelve billion, seven hundred twenty-two million, eight hundred thirty-nine thousand, forty".