4212377400 has 384 divisors, whose sum is σ = 16516800000. Its totient is φ = 862617600.

The previous prime is 4212377381. The next prime is 4212377413. The reversal of 4212377400 is 47732124.

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

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, 3371976 + ... + 3373224.

It is an arithmetic number, because the mean of its divisors is an integer number (43012500).

Almost surely, 2^4212377400 is an apocalyptic number.

4212377400 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 4212377400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8258400000).

4212377400 is an abundant number, since it is smaller than the sum of its proper divisors (12304422600).

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

4212377400 is a wasteful number, since it uses less digits than its factorization.

4212377400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 4212377400 is about 64902.8304467532. The cubic root of 4212377400 is about 1615.0120163841.

The spelling of 4212377400 in words is "four billion, two hundred twelve million, three hundred seventy-seven thousand, four hundred".