2151410738400 has 2160 divisors, whose sum is σ = 10282768860672. Its totient is φ = 432407808000.

The previous prime is 2151410738339. The next prime is 2151410738419. The reversal of 2151410738400 is 48370141512.

2151410738400 is a `hidden beast` number, since 2 + 1 + 514 + 107 + 38 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1082742207 + ... + 1082744193.

Almost surely, 2^{2151410738400} is an apocalyptic number.

2151410738400 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 2151410738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5141384430336).

2151410738400 is an abundant number, since it is smaller than the sum of its proper divisors (8131358122272).

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

2151410738400 is a wasteful number, since it uses less digits than its factorization.

2151410738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 2151410738400 its reverse (48370141512), we get a palindrome (2199780879912).

The spelling of 2151410738400 in words is "two trillion, one hundred fifty-one billion, four hundred ten million, seven hundred thirty-eight thousand, four hundred".