1204377964416 has 576 divisors, whose sum is σ = 3896947454400. Its totient is φ = 356661043200.

The previous prime is 1204377964331. The next prime is 1204377964417. The reversal of 1204377964416 is 6144697734021.

1204377964416 is a `hidden beast` number, since 1 + 2 + 0 + 43 + 77 + 96 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204377964417) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1675073305 + ... + 1675074023.

It is an arithmetic number, because the mean of its divisors is an integer number (6765533775).

Almost surely, 2^{1204377964416} is an apocalyptic number.

1204377964416 is a gapful number since it is divisible by the number (16) 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 1204377964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948473727200).

1204377964416 is an abundant number, since it is smaller than the sum of its proper divisors (2692569489984).

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

1204377964416 is a wasteful number, since it uses less digits than its factorization.

1204377964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 1204377964416 in words is "one trillion, two hundred four billion, three hundred seventy-seven million, nine hundred sixty-four thousand, four hundred sixteen".