4046427083520 has 1440 divisors, whose sum is σ = 16000952647680. Its totient is φ = 971917885440.

The previous prime is 4046427083509. The next prime is 4046427083593. The reversal of 4046427083520 is 253807246404.

It is a happy number.

4046427083520 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 42 + 7 + 0 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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, 5627853721 + ... + 5627854439.

It is an arithmetic number, because the mean of its divisors is an integer number (11111772672).

Almost surely, 2^{4046427083520} is an apocalyptic number.

4046427083520 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 4046427083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8000476323840).

4046427083520 is an abundant number, since it is smaller than the sum of its proper divisors (11954525564160).

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

4046427083520 is a wasteful number, since it uses less digits than its factorization.

4046427083520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 4046427083520 in words is "four trillion, forty-six billion, four hundred twenty-seven million, eighty-three thousand, five hundred twenty".