1471678309920 has 1152 divisors, whose sum is σ = 5879094939648. Its totient is φ = 302922547200.

The previous prime is 1471678309919. The next prime is 1471678309921. The reversal of 1471678309920 is 299038761741.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1471678309919) and next prime (1471678309921).

It is not an unprimeable number, because it can be changed into a prime (1471678309921) 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, 6974778615 + ... + 6974778825.

It is an arithmetic number, because the mean of its divisors is an integer number (5103381024).

Almost surely, 2^{1471678309920} is an apocalyptic number.

1471678309920 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 1471678309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939547469824).

1471678309920 is an abundant number, since it is smaller than the sum of its proper divisors (4407416629728).

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

1471678309920 is a wasteful number, since it uses less digits than its factorization.

1471678309920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 1471678309920 in words is "one trillion, four hundred seventy-one billion, six hundred seventy-eight million, three hundred nine thousand, nine hundred twenty".