1872949478400 has 2112 divisors, whose sum is σ = 9238202050560. Its totient is φ = 359114342400.

The previous prime is 1872949478371. The next prime is 1872949478443. The reversal of 1872949478400 is 48749492781.

1872949478400 is a `hidden beast` number, since 1 + 8 + 72 + 9 + 4 + 94 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 691889847 + ... + 691892553.

Almost surely, 2^{1872949478400} is an apocalyptic number.

1872949478400 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 1872949478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619101025280).

1872949478400 is an abundant number, since it is smaller than the sum of its proper divisors (7365252572160).

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

1872949478400 is a wasteful number, since it uses less digits than its factorization.

1872949478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 1872949478400 in words is "one trillion, eight hundred seventy-two billion, nine hundred forty-nine million, four hundred seventy-eight thousand, four hundred".