2451158441340 has 576 divisors, whose sum is σ = 8348678553600. Its totient is φ = 535177843200.

The previous prime is 2451158441321. The next prime is 2451158441353. The reversal of 2451158441340 is 431448511542.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2451158441292 and 2451158441301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2853501831 + ... + 2853502689.

It is an arithmetic number, because the mean of its divisors is an integer number (14494233600).

Almost surely, 2^{2451158441340} is an apocalyptic number.

2451158441340 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 2451158441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174339276800).

2451158441340 is an abundant number, since it is smaller than the sum of its proper divisors (5897520112260).

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

2451158441340 is a wasteful number, since it uses less digits than its factorization.

2451158441340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 2451158441340 in words is "two trillion, four hundred fifty-one billion, one hundred fifty-eight million, four hundred forty-one thousand, three hundred forty".