4380837912000 has 1344 divisors, whose sum is σ = 18240074711040. Its totient is φ = 1027572480000.

The previous prime is 4380837911993. The next prime is 4380837912089. The reversal of 4380837912000 is 2197380834.

4380837912000 is a `hidden beast` number, since 4 + 380 + 83 + 79 + 120 + 0 + 0 = 666.

It is a super-2 number, since 2×4380837912000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 810213297 + ... + 810218703.

It is an arithmetic number, because the mean of its divisors is an integer number (13571484160).

Almost surely, 2^{4380837912000} is an apocalyptic number.

4380837912000 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 4380837912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120037355520).

4380837912000 is an abundant number, since it is smaller than the sum of its proper divisors (13859236799040).

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

4380837912000 is a wasteful number, since it uses less digits than its factorization.

4380837912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4380837912000 in words is "four trillion, three hundred eighty billion, eight hundred thirty-seven million, nine hundred twelve thousand".