1360949990400 has 3168 divisors, whose sum is σ = 6854452536960. Its totient is φ = 260112384000.

The previous prime is 1360949990381. The next prime is 1360949990417. The reversal of 1360949990400 is 40999490631.

1360949990400 is a `hidden beast` number, since 1 + 3 + 60 + 9 + 4 + 99 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4843238260 + ... + 4843238540.

Almost surely, 2^{1360949990400} is an apocalyptic number.

1360949990400 is a gapful number since it is divisible by the number (10) 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 1360949990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427226268480).

1360949990400 is an abundant number, since it is smaller than the sum of its proper divisors (5493502546560).

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

1360949990400 is a wasteful number, since it uses less digits than its factorization.

1360949990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 1360949990400 in words is "one trillion, three hundred sixty billion, nine hundred forty-nine million, nine hundred ninety thousand, four hundred".