1354067024640 has 576 divisors, whose sum is σ = 4881098686464. Its totient is φ = 316938240000.

The previous prime is 1354067024617. The next prime is 1354067024647. The reversal of 1354067024640 is 464207604531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1354067024592 and 1354067024601.

It is not an unprimeable number, because it can be changed into a prime (1354067024647) 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, 747689335 + ... + 747691145.

It is an arithmetic number, because the mean of its divisors is an integer number (8474129664).

Almost surely, 2^{1354067024640} is an apocalyptic number.

1354067024640 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 1354067024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440549343232).

1354067024640 is an abundant number, since it is smaller than the sum of its proper divisors (3527031661824).

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

1354067024640 is a wasteful number, since it uses less digits than its factorization.

1354067024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 1354067024640 in words is "one trillion, three hundred fifty-four billion, sixty-seven million, twenty-four thousand, six hundred forty".