4016027400 has 192 divisors, whose sum is σ = 15521863680. Its totient is φ = 834489600.

The previous prime is 4016027383. The next prime is 4016027413. The reversal of 4016027400 is 47206104.

It is a super-2 number, since 2×4016027400² = 32256952155101520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2737 + ... + 89663.

It is an arithmetic number, because the mean of its divisors is an integer number (80843040).

Almost surely, 2^4016027400 is an apocalyptic number.

4016027400 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 4016027400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760931840).

4016027400 is an abundant number, since it is smaller than the sum of its proper divisors (11505836280).

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

4016027400 is a wasteful number, since it uses less digits than its factorization.

4016027400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86964 (or 86955 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4016027400 is about 63372.1342547338. The cubic root of 4016027400 is about 1589.5183858365.

The spelling of 4016027400 in words is "four billion, sixteen million, twenty-seven thousand, four hundred".