1468437647040 has 2352 divisors, whose sum is σ = 6891573037248. Its totient is φ = 290667626496.

The previous prime is 1468437647029. The next prime is 1468437647059. The reversal of 1468437647040 is 407467348641.

1468437647040 is a `hidden beast` number, since 1 + 4 + 68 + 4 + 3 + 76 + 470 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4691493924 + ... + 4691494236.

Almost surely, 2^{1468437647040} is an apocalyptic number.

1468437647040 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 1468437647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445786518624).

1468437647040 is an abundant number, since it is smaller than the sum of its proper divisors (5423135390208).

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

1468437647040 is a wasteful number, since it uses less digits than its factorization.

1468437647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 1468437647040 in words is "one trillion, four hundred sixty-eight billion, four hundred thirty-seven million, six hundred forty-seven thousand, forty".