145041062400 has 1440 divisors, whose sum is σ = 616701653568. Its totient is φ = 33443020800.

The previous prime is 145041062399. The next prime is 145041062429. The reversal of 145041062400 is 4260140541.

145041062400 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 410 + 6 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 687398295 + ... + 687398505.

Almost surely, 2^145041062400 is an apocalyptic number.

145041062400 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 145041062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308350826784).

145041062400 is an abundant number, since it is smaller than the sum of its proper divisors (471660591168).

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

145041062400 is a wasteful number, since it uses less digits than its factorization.

145041062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 145041062400 in words is "one hundred forty-five billion, forty-one million, sixty-two thousand, four hundred".