4946193890400 has 576 divisors, whose sum is σ = 18664265410560. Its totient is φ = 1114418995200.

The previous prime is 4946193890387. The next prime is 4946193890411. The reversal of 4946193890400 is 40983916494.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360739545 + ... + 360753255.

It is an arithmetic number, because the mean of its divisors is an integer number (32403238560).

Almost surely, 2^{4946193890400} is an apocalyptic number.

4946193890400 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 4946193890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9332132705280).

4946193890400 is an abundant number, since it is smaller than the sum of its proper divisors (13718071520160).

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

4946193890400 is a wasteful number, since it uses less digits than its factorization.

4946193890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14047 (or 14034 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 4946193890400 in words is "four trillion, nine hundred forty-six billion, one hundred ninety-three million, eight hundred ninety thousand, four hundred".