1407754939968 has 672 divisors, whose sum is σ = 4646135894400. Its totient is φ = 404388052992.

The previous prime is 1407754939963. The next prime is 1407754940027. The reversal of 1407754939968 is 8699394577041.

1407754939968 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 75 + 493 + 9 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1407754939896 and 1407754939905.

It is not an unprimeable number, because it can be changed into a prime (1407754939963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 999115648 + ... + 999117056.

It is an arithmetic number, because the mean of its divisors is an integer number (6913892700).

Almost surely, 2^{1407754939968} is an apocalyptic number.

1407754939968 is a gapful number since it is divisible by the number (18) 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 1407754939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323067947200).

1407754939968 is an abundant number, since it is smaller than the sum of its proper divisors (3238380954432).

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

1407754939968 is a wasteful number, since it uses less digits than its factorization.

1407754939968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 1407754939968 in words is "one trillion, four hundred seven billion, seven hundred fifty-four million, nine hundred thirty-nine thousand, nine hundred sixty-eight".