46040812646400 has 4368 divisors, whose sum is σ = 212614513050240. Its totient is φ = 9717586329600.

The previous prime is 46040812646369. The next prime is 46040812646407. The reversal of 46040812646400 is 464621804064.

46040812646400 is a `hidden beast` number, since 4 + 60 + 4 + 0 + 8 + 126 + 464 + 0 + 0 = 666.

It is a super-3 number, since 3×46040812646400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46040812646407) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 202822963087 + ... + 202822963313.

Almost surely, 2^{46040812646400} is an apocalyptic number.

46040812646400 is a gapful number since it is divisible by the number (40) 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 46040812646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106307256525120).

46040812646400 is an abundant number, since it is smaller than the sum of its proper divisors (166573700403840).

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

46040812646400 is a wasteful number, since it uses less digits than its factorization.

46040812646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 46040812646400 in words is "forty-six trillion, forty billion, eight hundred twelve million, six hundred forty-six thousand, four hundred".