1415461454100 has 288 divisors, whose sum is σ = 4704238492800. Its totient is φ = 364868582400.

The previous prime is 1415461454089. The next prime is 1415461454189. The reversal of 1415461454100 is 14541645141.

1415461454100 is a `hidden beast` number, since 1 + 4 + 1 + 54 + 61 + 4 + 541 + 0 + 0 = 666.

It is a super-2 number, since 2×1415461454100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12007647 + ... + 12124953.

Almost surely, 2^{1415461454100} is an apocalyptic number.

1415461454100 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 1415461454100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352119246400).

1415461454100 is an abundant number, since it is smaller than the sum of its proper divisors (3288777038700).

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

1415461454100 is a wasteful number, since it uses less digits than its factorization.

1415461454100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117480 (or 117467 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1415461454100 in words is "one trillion, four hundred fifteen billion, four hundred sixty-one million, four hundred fifty-four thousand, one hundred".