1951461411900 has 864 divisors, whose sum is σ = 7792104273408. Its totient is φ = 370631116800.

The previous prime is 1951461411881. The next prime is 1951461412013. The reversal of 1951461411900 is 91141641591.

It is a super-2 number, since 2×1951461411900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 216511794 + ... + 216520806.

Almost surely, 2^{1951461411900} is an apocalyptic number.

1951461411900 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 1951461411900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896052136704).

1951461411900 is an abundant number, since it is smaller than the sum of its proper divisors (5840642861508).

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

1951461411900 is a wasteful number, since it uses less digits than its factorization.

1951461411900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9171 (or 9157 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 42.

The spelling of 1951461411900 in words is "one trillion, nine hundred fifty-one billion, four hundred sixty-one million, four hundred eleven thousand, nine hundred".