1254340616040 has 768 divisors, whose sum is σ = 4645397952000. Its totient is φ = 291635527680.

The previous prime is 1254340616033. The next prime is 1254340616041. The reversal of 1254340616040 is 406160434521.

1254340616040 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 3 + 40 + 6 + 1 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1254340615986 and 1254340616004.

It is not an unprimeable number, because it can be changed into a prime (1254340616041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1131055006 + ... + 1131056114.

It is an arithmetic number, because the mean of its divisors is an integer number (6048695250).

Almost surely, 2^{1254340616040} is an apocalyptic number.

1254340616040 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 1254340616040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322698976000).

1254340616040 is an abundant number, since it is smaller than the sum of its proper divisors (3391057335960).

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

1254340616040 is a wasteful number, since it uses less digits than its factorization.

1254340616040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1254340616040 in words is "one trillion, two hundred fifty-four billion, three hundred forty million, six hundred sixteen thousand, forty".