2114382950400 has 624 divisors, whose sum is σ = 8044217280000. Its totient is φ = 479971246080.

The previous prime is 2114382950389. The next prime is 2114382950411. The reversal of 2114382950400 is 40592834112.

It is an interprime number because it is at equal distance from previous prime (2114382950389) and next prime (2114382950411).

It is a congruent number.

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, 320406301 + ... + 320412899.

Almost surely, 2^{2114382950400} is an apocalyptic number.

2114382950400 is a gapful number since it is divisible by the number (20) 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 2114382950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022108640000).

2114382950400 is an abundant number, since it is smaller than the sum of its proper divisors (5929834329600).

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

2114382950400 is a wasteful number, since it uses less digits than its factorization.

2114382950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6792 (or 6765 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 2114382950400 in words is "two trillion, one hundred fourteen billion, three hundred eighty-two million, nine hundred fifty thousand, four hundred".