4949201400 has 384 divisors, whose sum is σ = 18523814400. Its totient is φ = 1076889600.

The previous prime is 4949201333. The next prime is 4949201407. The reversal of 4949201400 is 41029494.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4949201407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3173821 + ... + 3175379.

It is an arithmetic number, because the mean of its divisors is an integer number (48239100).

Almost surely, 2^4949201400 is an apocalyptic number.

4949201400 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 4949201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9261907200).

4949201400 is an abundant number, since it is smaller than the sum of its proper divisors (13574613000).

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

4949201400 is a wasteful number, since it uses less digits than its factorization.

4949201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4949201400 is about 70350.5607653557. The cubic root of 4949201400 is about 1704.1652647795.

The spelling of 4949201400 in words is "four billion, nine hundred forty-nine million, two hundred one thousand, four hundred".