2014772913400 has 192 divisors, whose sum is σ = 5137171200000. Its totient is φ = 730382814720.

The previous prime is 2014772913389. The next prime is 2014772913409. The reversal of 2014772913400 is 43192774102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014772913409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36739201 + ... + 36793999.

It is an arithmetic number, because the mean of its divisors is an integer number (26756100000).

Almost surely, 2^{2014772913400} is an apocalyptic number.

2014772913400 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 2014772913400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568585600000).

2014772913400 is an abundant number, since it is smaller than the sum of its proper divisors (3122398286600).

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

2014772913400 is a wasteful number, since it uses less digits than its factorization.

2014772913400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55086 (or 55077 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 2014772913400 in words is "two trillion, fourteen billion, seven hundred seventy-two million, nine hundred thirteen thousand, four hundred".