4378067981400 has 768 divisors, whose sum is σ = 15433755033600. Its totient is φ = 1020805632000.

The previous prime is 4378067981333. The next prime is 4378067981411. The reversal of 4378067981400 is 41897608734.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3990945652 + ... + 3990946748.

It is an arithmetic number, because the mean of its divisors is an integer number (20096035200).

Almost surely, 2^{4378067981400} is an apocalyptic number.

4378067981400 is a gapful number since it is divisible by the number (40) 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 4378067981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716877516800).

4378067981400 is an abundant number, since it is smaller than the sum of its proper divisors (11055687052200).

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

4378067981400 is a wasteful number, since it uses less digits than its factorization.

4378067981400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 4378067981400 in words is "four trillion, three hundred seventy-eight billion, sixty-seven million, nine hundred eighty-one thousand, four hundred".