1947121961400 has 1536 divisors, whose sum is σ = 8732655360000. Its totient is φ = 386917171200.

The previous prime is 1947121961399. The next prime is 1947121961401. The reversal of 1947121961400 is 41691217491.

1947121961400 is a `hidden beast` number, since 1 + 9 + 4 + 7 + 1 + 21 + 9 + 614 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1947121961399) and next prime (1947121961401).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1947121961401) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 1362575886 + ... + 1362577314.

It is an arithmetic number, because the mean of its divisors is an integer number (5685322500).

Almost surely, 2^{1947121961400} is an apocalyptic number.

1947121961400 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 1947121961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366327680000).

1947121961400 is an abundant number, since it is smaller than the sum of its proper divisors (6785533398600).

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

1947121961400 is a wasteful number, since it uses less digits than its factorization.

1947121961400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1947121961400 in words is "one trillion, nine hundred forty-seven billion, one hundred twenty-one million, nine hundred sixty-one thousand, four hundred".