1504142006400 has 1152 divisors, whose sum is σ = 6221442427200. Its totient is φ = 355663872000.

The previous prime is 1504142006399. The next prime is 1504142006461. The reversal of 1504142006400 is 46002414051.

1504142006400 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 14 + 2 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×1504142006400³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 350695456 + ... + 350699744.

Almost surely, 2^{1504142006400} is an apocalyptic number.

1504142006400 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 1504142006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110721213600).

1504142006400 is an abundant number, since it is smaller than the sum of its proper divisors (4717300420800).

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

1504142006400 is a wasteful number, since it uses less digits than its factorization.

1504142006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4351 counting only the distinct ones).

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

The spelling of 1504142006400 in words is "one trillion, five hundred four billion, one hundred forty-two million, six thousand, four hundred".