4628129940 has 192 divisors, whose sum is σ = 16641676800. Its totient is φ = 1045896192.

The previous prime is 4628129939. The next prime is 4628130011. The reversal of 4628129940 is 499218264.

4628129940 is a `hidden beast` number, since 4 + 628 + 12 + 9 + 9 + 4 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 329542 + ... + 343298.

It is an arithmetic number, because the mean of its divisors is an integer number (86675400).

Almost surely, 2^4628129940 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 4628129940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8320838400).

4628129940 is an abundant number, since it is smaller than the sum of its proper divisors (12013546860).

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

4628129940 is a wasteful number, since it uses less digits than its factorization.

4628129940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13871 (or 13863 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4628129940 is about 68030.3604282676. The cubic root of 4628129940 is about 1666.4866844757.

The spelling of 4628129940 in words is "four billion, six hundred twenty-eight million, one hundred twenty-nine thousand, nine hundred forty".