4029950400 has 672 divisors, whose sum is σ = 16109826048. Its totient is φ = 862617600.

The previous prime is 4029950387. The next prime is 4029950413. The reversal of 4029950400 is 40599204.

It is an interprime number because it is at equal distance from previous prime (4029950387) and next prime (4029950413).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55204764 + ... + 55204836.

Almost surely, 2^4029950400 is an apocalyptic number.

4029950400 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 4029950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8054913024).

4029950400 is an abundant number, since it is smaller than the sum of its proper divisors (12079875648).

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

4029950400 is a wasteful number, since it uses less digits than its factorization.

4029950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 4029950400 is about 63481.8903310228. The cubic root of 4029950400 is about 1591.3531457927.

The spelling of 4029950400 in words is "four billion, twenty-nine million, nine hundred fifty thousand, four hundred".