378099671040000 has 6120 divisors, whose sum is σ = 1840335866761920. Its totient is φ = 75082235904000.

The previous prime is 378099671039971. The next prime is 378099671040019. The reversal of 378099671040000 is 40176990873.

It is a happy number.

378099671040000 is a `hidden beast` number, since 3 + 7 + 80 + 9 + 96 + 71 + 0 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6120).

It is a super-2 number, since 2×378099671040000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 22241157119992 + ... + 22241157120008.

Almost surely, 2^{378099671040000} is an apocalyptic number.

378099671040000 is a gapful number since it is divisible by the number (30) 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 378099671040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920167933380960).

378099671040000 is an abundant number, since it is smaller than the sum of its proper divisors (1462236195721920).

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

378099671040000 is an frugal number, since it uses more digits than its factorization.

378099671040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 378099671040000 in words is "three hundred seventy-eight trillion, ninety-nine billion, six hundred seventy-one million, forty thousand".