1649971814400 has 1680 divisors, whose sum is σ = 7529668216224. Its totient is φ = 347807416320.

The previous prime is 1649971814329. The next prime is 1649971814411. The reversal of 1649971814400 is 44181799461.

It is a happy number.

1649971814400 is a `hidden beast` number, since 1 + 6 + 4 + 99 + 71 + 81 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 119 ways as a sum of consecutive naturals, for example, 1509580254 + ... + 1509581346.

Almost surely, 2^{1649971814400} is an apocalyptic number.

1649971814400 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 1649971814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764834108112).

1649971814400 is an abundant number, since it is smaller than the sum of its proper divisors (5879696401824).

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

1649971814400 is a wasteful number, since it uses less digits than its factorization.

1649971814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1649971814400 in words is "one trillion, six hundred forty-nine billion, nine hundred seventy-one million, eight hundred fourteen thousand, four hundred".