4023029640 has 256 divisors, whose sum is σ = 14349312000. Its totient is φ = 882846720.

The previous prime is 4023029639. The next prime is 4023029641. The reversal of 4023029640 is 469203204.

It is an interprime number because it is at equal distance from previous prime (4023029639) and next prime (4023029641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4023029598 and 4023029607.

It is not an unprimeable number, because it can be changed into a prime (4023029641) 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, 5821695 + ... + 5822385.

It is an arithmetic number, because the mean of its divisors is an integer number (56052000).

Almost surely, 2^4023029640 is an apocalyptic number.

4023029640 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 4023029640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7174656000).

4023029640 is an abundant number, since it is smaller than the sum of its proper divisors (10326282360).

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

4023029640 is a wasteful number, since it uses less digits than its factorization.

4023029640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4023029640 is about 63427.3571891499. The cubic root of 4023029640 is about 1590.4416636269.

The spelling of 4023029640 in words is "four billion, twenty-three million, twenty-nine thousand, six hundred forty".