4124628224640 has 1024 divisors, whose sum is σ = 18521685504000. Its totient is φ = 842523033600.

The previous prime is 4124628224609. The next prime is 4124628224657. The reversal of 4124628224640 is 464228264214.

4124628224640 is a `hidden beast` number, since 4 + 12 + 4 + 628 + 2 + 2 + 4 + 6 + 4 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 78476770 + ... + 78529310.

It is an arithmetic number, because the mean of its divisors is an integer number (18087583500).

Almost surely, 2^{4124628224640} is an apocalyptic number.

4124628224640 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 4124628224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9260842752000).

4124628224640 is an abundant number, since it is smaller than the sum of its proper divisors (14397057279360).

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

4124628224640 is a wasteful number, since it uses less digits than its factorization.

4124628224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52646 (or 52628 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 4124628224640 in words is "four trillion, one hundred twenty-four billion, six hundred twenty-eight million, two hundred twenty-four thousand, six hundred forty".