1254376506240 has 512 divisors, whose sum is σ = 5219269171200. Its totient is φ = 280699084800.

The previous prime is 1254376506221. The next prime is 1254376506247. The reversal of 1254376506240 is 426056734521.

1254376506240 is a `hidden beast` number, since 1 + 2 + 54 + 3 + 76 + 506 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254376506247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2217225 + ... + 2724855.

It is an arithmetic number, because the mean of its divisors is an integer number (10193885100).

Almost surely, 2^{1254376506240} is an apocalyptic number.

1254376506240 is a gapful number since it is divisible by the number (10) 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 1254376506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609634585600).

1254376506240 is an abundant number, since it is smaller than the sum of its proper divisors (3964892664960).

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

1254376506240 is a wasteful number, since it uses less digits than its factorization.

1254376506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507683 (or 507665 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 1254376506240 in words is "one trillion, two hundred fifty-four billion, three hundred seventy-six million, five hundred six thousand, two hundred forty".