4219881292032 has 432 divisors, whose sum is σ = 14170670442432. Its totient is φ = 1107074088960.

The previous prime is 4219881292021. The next prime is 4219881292079. The reversal of 4219881292032 is 2302921889124.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26149063 + ... + 26309945.

It is an arithmetic number, because the mean of its divisors is an integer number (32802477876).

Almost surely, 2^{4219881292032} is an apocalyptic number.

4219881292032 is a gapful number since it is divisible by the number (42) 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 4219881292032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085335221216).

4219881292032 is an abundant number, since it is smaller than the sum of its proper divisors (9950789150400).

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

4219881292032 is a wasteful number, since it uses less digits than its factorization.

4219881292032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160974 (or 160953 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 4219881292032 in words is "four trillion, two hundred nineteen billion, eight hundred eighty-one million, two hundred ninety-two thousand, thirty-two".