42764985151488 has 1040 divisors, whose sum is σ = 134837273843712. Its totient is φ = 13544423424000.

The previous prime is 42764985151487. The next prime is 42764985151531. The reversal of 42764985151488 is 88415158946724.

42764985151488 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 4 + 98 + 5 + 1 + 51 + 488 = 666.

It is a super-2 number, since 2×42764985151488² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (42764985151487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 177448071048 + ... + 177448071288.

Almost surely, 2^{42764985151488} is an apocalyptic number.

42764985151488 is a gapful number since it is divisible by the number (48) 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 42764985151488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67418636921856).

42764985151488 is an abundant number, since it is smaller than the sum of its proper divisors (92072288692224).

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

42764985151488 is an frugal number, since it uses more digits than its factorization.

42764985151488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 348 counting only the distinct ones).

The product of its digits is 619315200, while the sum is 72.

The spelling of 42764985151488 in words is "forty-two trillion, seven hundred sixty-four billion, nine hundred eighty-five million, one hundred fifty-one thousand, four hundred eighty-eight".