78141447014400 has 5760 divisors, whose sum is σ = 388584778982400. Its totient is φ = 15092357529600.

The previous prime is 78141447014399. The next prime is 78141447014471. The reversal of 78141447014400 is 441074414187.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×78141447014400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1474366924774 + ... + 1474366924826.

It is an arithmetic number, because the mean of its divisors is an integer number (67462635240).

Almost surely, 2^{78141447014400} is an apocalyptic number.

78141447014400 is a gapful number since it is divisible by the number (70) 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 78141447014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194292389491200).

78141447014400 is an abundant number, since it is smaller than the sum of its proper divisors (310443331968000).

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

78141447014400 is an equidigital number, since it uses as much as digits as its factorization.

78141447014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 78141447014400 in words is "seventy-eight trillion, one hundred forty-one billion, four hundred forty-seven million, fourteen thousand, four hundred".