424138977024 has 576 divisors, whose sum is σ = 1395378690048. Its totient is φ = 111756902400.

The previous prime is 424138977023. The next prime is 424138977091. The reversal of 424138977024 is 420779831424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424138977023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399753454 + ... + 399754514.

It is an arithmetic number, because the mean of its divisors is an integer number (2422532448).

Almost surely, 2^424138977024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424138977024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697689345024).

424138977024 is an abundant number, since it is smaller than the sum of its proper divisors (971239713024).

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

424138977024 is a wasteful number, since it uses less digits than its factorization.

424138977024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 424138977024 in words is "four hundred twenty-four billion, one hundred thirty-eight million, nine hundred seventy-seven thousand, twenty-four".